2982108160 has 88 divisors (see below), whose sum is σ = 7186443840. Its totient is φ = 1187364864.

The previous prime is 2982108139. The next prime is 2982108169. The reversal of 2982108160 is 618012892.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982108169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1222462 + ... + 1224898.

Almost surely, 2^2982108160 is an apocalyptic number.

2982108160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2982108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593221920).

2982108160 is an abundant number, since it is smaller than the sum of its proper divisors (4204335680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2982108160 is a wasteful number, since it uses less digits than its factorization.

2982108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 2982108160 is about 54608.6820936012. The cubic root of 2982108160 is about 1439.3766849647.

The spelling of 2982108160 in words is "two billion, nine hundred eighty-two million, one hundred eight thousand, one hundred sixty".